Introducing the idea of imaginary numbers and defining some key terms.

Topic: complex numbers

Curves and regions in the Argand Diagram

Topic: complex numbers

Introducing the idea of imaginary numbers

Topic: complex numbers

Factorising by grouping conjugates

Topic: complex numbers

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1.0

Aug 11, 2020
08/20

by
Jagdish Nanaware

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Quiz on complex numbers

Topic: Complex numbers

Describing complex numbers as vectors and points

Topic: complex numbers

Solving equations involving our new number

Topic: complex numbers

Manipulating algebra and imaginary numbers

Topic: complex numbers

More on the Argand Diagram

Topic: complex numbers

Introducing complex numbers

Topic: complex numbers

Solving equations involving imaginary numbers.

Topic: complex numbers

More curves

Topic: complex numbers

Introducing complex numbers

Topic: complex numbers

Introducing the idea of an imaginary number.

Topic: complex numbers

Using imaginary numbers in some familiar situations.

Topic: complex numbers

Introducing and using De Moivres Theorem

Topic: complex numbers

Using vectors to manipulate complex numbers

Topics: complex numbers, vector

Properties that allow the manipulation of conjugates

Topics: complex numbers, conjugates

Looking at conformal mapping

Topics: complex numbers, locus

Solving problems using conjugates

Topics: complex numbers, conjugate

Creating quadraticfactors from complex roots

Topics: complex numbers, factorising

Functions and the Argand Diagram

Topics: complex numbers, locus

Looking at lines in the complex plane

Topics: complex numbers, locus

Playing with conjugates

Topics: complex numbers, conjugates

With the use of imaginary numbers, all polynomials can now be factored completely to n linear factors.

Topics: complex numbers, factorising

Investigating circles on the Argand diagram

Topics: complex numbers, locus

Looking at circles on the Argand Diagram.

Topics: complex numbers, locus

Lines & rays in the Argand diagram

Topics: complex numbers, locus

Sketching functions on the complex plane

Topics: complex numbers, locus

Circles in the Argand Diagram

Topics: complex numbers, locus

Lines and rays in the Argand Diagram

Topics: complex numbers, locus

Using the properties of conjugates to solve problems

Topics: complex numbers, conjugates

Properties to assist in calculations

Topics: complex numbers, conjugates

Using imaginary numbers to solve quadratics

Topics: complex numbers, quadratics

Representing complex numbers with vectors

Topics: complex numbers, vectors

Whilst imaginary numbers cannot be plotted on a number line, they can be located on an Argand Diagram.

Topics: complex numbers, Argand Diagram

Describing complex numbers using polar coordinates

Topics: complex numbers, mod arg

Using compolex numbers to prove trig identities

Topics: complex numbers, trig identities

Factorising over the complex field

Topics: polynomials, complex numbers, factorising

Turning the mod arg relationships into a theorem

Topics: complex numbers, de moivres

De Moivre put the mod arg relations into a theorem

Topics: complex numbers, de moivre

How to operate numbers in polar form

Topics: complex numbers, mod arg

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370

Dec 8, 2008
12/08

by
Chris Thiel

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using trig to find answers about vectors and complex numbers

Topics: precalc, vectors, complex numbers

Placing imaginary numbers on a graph

Topics: complex numbers, argand diagram

Describing numbers are polar coordinates

Topics: complex numbers, mod arg

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Introduction to Complex Numbers

Topic: Introduction to Complex Numbers

Maniplulating complex numbers in mod arg form

Topics: complex numbers, mod arg

Raising complex numbers to powers

Topics: complex numbers, de moivres

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Sep 8, 2012
09/12

by
Lakshan Bandara

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Some say maths is pointless, because they cannot see Imaginary Numbers. - Can you see them? - Do mathematics effect with such knowledge? How would you value, if someone can show you the Imaginary Numbers?

Topics: Imaginary Numbers, Complex Numbers

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194

Nov 11, 2015
11/15

by
W. B. Vasantha Kandasamy, Florentin Smarandache

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In this book for the first time the authors introduce the notion of real neutrosophic complex numbers. Further the new notion of finite complex modulo integers is defined.

Topics: notion, neutrosophic complex numbers